To solve for y in the equation y/2 + 22 = 28, we need to get rid of the constant term 22 and the coefficient 1/2 attached to y. Here are the steps to follow:
1. Subtract 22 from both sides of the equation:
y/2 + 22 - 22 = 28 - 22
y/2 = 6
2. To eliminate the coefficient 1/2 attached to y, we can multiply both sides of the equation by its multiplicative inverse (2/1 or simply 2):
2/1 * (y/2) = 2/1 * 6
(2/2)y = 12
y = 12
To check our solution, we substitute y = 12 back into the original equation y/2 + 22 = 28:
12/2 + 22 = 28
6 + 22 = 28
28 = 28
The equation remains true when we substitute y = 12, which means our solution is correct.
using inverse operations to solve y/2 + 22 = 28 show all steps for getting the variable by itself then check your answer by plugging it back into the original equations
1 answer
1 answer